A276386 Write A003511(n) in the base {1, 3, 4, 11, 15, 41, 56, 153, 209, ...} (see A002530).

1, 2, 100, 101, 102, 200, 201, 202, 1001, 1002, 10000, 10001, 10002, 10100, 10101, 10102, 10200, 10201, 10202, 11001, 11002, 20000, 20001, 20002, 20100, 20101, 20102, 20200, 20201, 20202, 100001, 100002, 100100, 100101, 100102, 100200, 100201, 100202, 101001

Offset: 1

Author

N. J. A. Sloane, Sep 04 2016

Keywords

• nonn
• base

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..1000
• Aviezri S. Fraenkel, Jonathan Levitt, Michael Shimshoni, Characterization of the set of values f(n)=[n alpha], n=1,2,..., Discrete Math. 2 (1972), no. 4, 335-345. See Table 1.

Crossrefs

Cf. A002530, A003511, A003512, A276387, A276388.

Programs

PARI

A002530(n) = contfracpnqn(vector(n, i, 1+(i>1)*(i%2)))[2, 1]
A003511(n) = floor(n*(1+sqrt(3))/2)
a(n) = my (v=A003511(n)); for (b=2, oo, if (v<=A002530(b), my (w=0); forstep (p=b, 2, -1, w=10*w + (v\A002530(p)); v=v%A002530(p)); return (w))) \\ Rémy Sigrist, Dec 29 2018

Extensions

More terms from Rémy Sigrist, Dec 29 2018